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Evaluate the following definite integral...

Evaluate the following definite integrals: `\int_{-pi/4}^((pi)/4) frac{x^3}{1+x^2}` dx

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CHETANA PUBLICATION-Definite integration-Exercise
  1. Evaluate the following definite integrals:\int{0}^((pi)/4)log(1+ tanx)...

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  2. Evaluate the following definite integrals: \int{(-pi)/4}^((pi)/4) x^3 ...

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  3. Evaluate the following definite integrals: \int{-pi/4}^((pi)/4) frac{x...

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  4. Evaluate the following definite integrals: \int{1}^2 frac{log x}{x^2} ...

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  5. Evaluate the following definite integrals:\int{0}^((pi)/2) frac{cos x}...

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  6. Evaluate the following definite integrals: \int{0}^(1/2) frac{1}{(1-2x...

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  7. Evaluate the following definite integrals: \int{-1}^1 abs(5x-3) dx

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  8. Evaluate the following definite integrals:\int{0}^((pi)/2) frac{1}{1+r...

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  9. Evaluate the following definite integrals: \int{3}^8 frac{(11-x)^2}{x^...

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  10. Evaluate the following definite integrals: \int{0}^(pi) x sin^2 x dx

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  11. Evaluate the following definite integrals: \int{0}^(pi) cos^2 x dx

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  12. Evaluate the following definite integrals: \int{(-pi)}^(pi) frac{x(1+...

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  13. Evaluate the following definite integrals: \int{0}^3 x[x]dx, [x] is g...

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  14. Evaluate the following definite integrals: \int{0}^1 x^2 sqrt (1-x) dx

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  15. Evaluate the following definite integrals: \int{0}^((pi)/2) frac {root...

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  16. Evaluate the following definite integrals: \int{0}^((pi)/2) log(sin x)...

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  17. Evaluate the following definite integrals: \int{(-pi)/2}^((pi)/2) sin^...

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  18. Evaluate the following definite integrals: \int{(-pi)/2}^((pi)/2) log(...

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  19. Prove that \int{a}^a f(x) dx = 0

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  20. Prove that \int{a}^b f(x) dx = -\int{b}^a f(x) dx

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